72774567023400 has 384 divisors, whose sum is σ = 273479931878400. Its totient is φ = 17640772012800.

The previous prime is 72774567023387. The next prime is 72774567023419. The reversal of 72774567023400 is 432076547727.

72774567023400 is a `hidden beast` number, since 7 + 2 + 7 + 74 + 567 + 0 + 2 + 3 + 4 + 0 + 0 = 666.

72774567023400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72774567023400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770192559 + ... + 770287041.

It is an arithmetic number, because the mean of its divisors is an integer number (712187322600).

Almost surely, 2^{72774567023400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72774567023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136739965939200).

72774567023400 is an abundant number, since it is smaller than the sum of its proper divisors (200705364855000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72774567023400 is a wasteful number, since it uses less digits than its factorization.

72774567023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107486 (or 107471 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 54.

The spelling of 72774567023400 in words is "seventy-two trillion, seven hundred seventy-four billion, five hundred sixty-seven million, twenty-three thousand, four hundred".